ADDITIVE   -FUNCTIONAL EQUATIONS IN BANACH SPACES

JUN, IN WHAN; JUN, IN WHAN; SEO, JEONG PIL; SEO, JEONG PIL; LEE, SUNGJIN; LEE, SUNGJIN

doi:10.7468/jksmeb.2015.22.4.375

P-ISSN1226-0657
E-ISSN2287-6081
KCI

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Vol.22 No.4

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ADDITIVE -FUNCTIONAL EQUATIONS IN BANACH SPACES

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2015, v.22 no.4, pp.375-382

https://doi.org/10.7468/jksmeb.2015.22.4.375

JUN, IN WHAN
SEO, JEONG PIL
LEE, SUNGJIN

JUN,, I. W. , SEO,, J. P. , & LEE,, S. (2015). ADDITIVE -FUNCTIONAL EQUATIONS IN BANACH SPACES. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 22(4), 375-382, https://doi.org/10.7468/jksmeb.2015.22.4.375

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Abstract

In this paper, we solve the additive ρ-functional equations

keywords: Hyers-Ulam stability, additive ρ-functional equation, Banach space

Reference

Ulam, S.M.;. A Collection of the Mathematical Problems.

Rassias, Th.M.;. (1978). On the stability of the linear mapping in Banach spaces. Proc. Amer. Math. Soc., 72, 297-300. 10.1090/S0002-9939-1978-0507327-1.

Hyers, D.H.;. (1941). On the stability of the linear functional equation. Proc. Natl. Acad. Sci. U.S.A., 27, 222-224. 10.1073/pnas.27.4.222.

Gǎvruta, P.;. (1994). A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings. J. Math. Anal. Appl., 184, 431-443. 10.1006/jmaa.1994.1211.

Aoki, T.;. (1950). On the stability of the linear transformation in Banach spaces. J. Math. Soc. Japan, 2, 64-66. 10.2969/jmsj/00210064.

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Article Contents

Vol.22 No.4

ADDITIVE -FUNCTIONAL EQUATIONS IN BANACH SPACES

Abstract

Reference

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics